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arXiv 2005.09822math.CVmath.AP
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弧长空quadrature域的注记

A note on arclength null quadrature domains

Dmitry Khavinson, Erik Lundberg

备注：
11 pages, 1 figure. In this version, the proof of Theorem 2.2 has been revised along with some additional revisions. The paper will appear in The Bulletin of the London Mathematical Society
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摘要：

本文证明了弧长为零的具有许多边界分量的正交域的屋顶函数的存在性。这通过从先前的分类结果中去除先验假设来弥合弧长零正交域的分类差距。

英文摘要：

We prove the existence of a roof function for arclength null quadrature domains having finitely many boundary components. This bridges a gap toward classification of arclength null quadrature domains by removing an a priori assumption from previous classification results.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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